{"title":"Stability of One-Dimensional Spatially Invariant Arrays Perturbed by White Noise","authors":"H. Fang, P.J. Antsakls","doi":"10.1109/MED.2006.328831","DOIUrl":null,"url":null,"abstract":"For the one-dimensional spatially invariant array, a necessary and sufficient stability condition in terms of the Schur stability of a matrix over spatial frequency is obtained in this paper Then based on the theorem on nonnegative pseudo-polynomial matrices, the frequency-dependent stability condition is converted to a finite dimensional linear matrix inequality (LMI) problem, the solution of which is easy to compute","PeriodicalId":347035,"journal":{"name":"2006 14th Mediterranean Conference on Control and Automation","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2006-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 14th Mediterranean Conference on Control and Automation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MED.2006.328831","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
For the one-dimensional spatially invariant array, a necessary and sufficient stability condition in terms of the Schur stability of a matrix over spatial frequency is obtained in this paper Then based on the theorem on nonnegative pseudo-polynomial matrices, the frequency-dependent stability condition is converted to a finite dimensional linear matrix inequality (LMI) problem, the solution of which is easy to compute
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